Solve for x to determine if the equation has one, none, or infinite solutions. 4x=3(x+5)−15

A. the equation has infinite solutions
B. the equation has one solution: x = -10
C. the equation has no solution
D. the equation has one solution: x = 10

1 answer

To solve the equation, we first distribute on the right side:

4x = 3x + 15 - 15

This simplifies to:

4x = 3x

Next, we subtract 3x from both sides:

4x - 3x = 3x - 3x

This simplifies to:

x = 0

So the solution to the equation is x = 0. Therefore, there is only one solution to the equation.

The correct answer is:
D. the equation has one solution: x = 0
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